Rotational Inertia Physics C

1. The problem statement, all variables and given/known data
A solid sphere (mass of m, radius of r and I=2/5 mr2) is rolling without slipping on
a rough surface with a speed of v. A ramp (mass of 2m and angle of θ) rests on a
smooth surface and is free to slide on the surface. As the ball rolls up the ramp, the
ramp begins to move. Provide all answers in terms of the given variables and any
fundamental constants.

A. What will be the speed of the ball/ramp when the ball reaches its highest point on
the ramp?

B. What distance L will the ball roll up the incline?

C. What will be the speeds of the ball and the ramp after the ball rolls back down off
of the ramp?